Pith Number

pith:VYFBLE3N

pith:2013:VYFBLE3NULUM4NDKOX5LBQZXQ3

not attested not anchored not stored refs pending

A Mirror Theorem for Toric Stacks

Alessio Corti, Hiroshi Iritani, Hsian-Hua Tseng, Tom Coates

arxiv:1310.4163 v5 · 2013-10-15 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYFBLE3NULUM4NDKOX5LBQZXQ3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Non-commutative resolutions and pre-quotients of Calabi-Yau double covers

Receipt and verification

First computed	2026-05-18T01:29:11.763760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae0a15936da2e8ce346a75fab0c33786e2be4a8645bfb4d92e72efc626431744

Aliases

arxiv: 1310.4163 · arxiv_version: 1310.4163v5 · doi: 10.48550/arxiv.1310.4163 · pith_short_12: VYFBLE3NULUM · pith_short_16: VYFBLE3NULUM4NDK · pith_short_8: VYFBLE3N

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VYFBLE3NULUM4NDKOX5LBQZXQ3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ae0a15936da2e8ce346a75fab0c33786e2be4a8645bfb4d92e72efc626431744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "045b0b2e629ebcdff2db38019d9c75e8a64341c694dd3406b5806a21aaaf1c4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-10-15T19:50:37Z",
    "title_canon_sha256": "80d10ba6a24bec23a25dce8281dce5a6be66655b1adb9a93928e8e461c6558c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4163",
    "kind": "arxiv",
    "version": 5
  }
}